Ben Lowe

collaborators

4 papers

math.DG2026

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Mikolaj Fraczyk, Ben Lowe

We show that compact locally symmetric manifolds $M$ with universal cover the symmetric space $X$ for $S L (n, R)$ form a topological higher $d$ -expander family for $d\leq n/…

math.DG2026

Counting Minimal Lagrangians Via Mirzakhani Functions

Ben Lowe, Fernando C. Marques, André Neves

We show that for $k > 1$ the number of genus $k$ minimal Lagrangians with area at most $A$ in a product of hyperbolic surfaces grows on the order of $A^{6 (k - 1)}$ , with an explicit le…

math.DG2024

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Mikolaj Fraczyk, Ben Lowe

We study the higher expansion properties of locally symmetric spaces, with a particular focus on octonionic hyperbolic manifolds. We show that codimension two minimal submanifolds…

math.GT2024

Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms

Amina Abdurrahman, Anshul Adve, Vikram Giri +2

We study two quantifications of being a homology sphere for hyperbolic 3-manifolds, one geometric and one topological: the spectral gap for the Laplacian on coclosed 1-forms and th…